Suppose that a researcher, using data on class size (CS) and average test scores from 100 third-grade classes, estimates the OLS regression TestScore = 509.9920 + (-5.7036) x CS, R2 = 0.10, SER = 11.3 (19.9920) (2.0995) Construct a 95% confidence interval for B₁, the regression slope coefficient. ☐ The 95% confidence interval for B₁, the regression slope coefficient, is (). (Round your responses to two decimal places.) The t-statistic for the two-sided test of the null hypothesis Ho: B₁ = 0 is Note: Assume a normal distribution. The p-value for the two-sided test of the null hypothesis Ho: B₁ = 0 is Do you reject the null hypothesis at the 1% level? A. Yes, because the t-statistic is less than 2.58. B. Yes, because the t-statistic is greater than 2.58. C. Yes, because the p-value is less than 0.01. D. No, because the p-value is greater than 0.01. The p-value for the two-sided test of the null hypothesis Ho: B₁ = -5.4 is (Round your response to four decimal places.) (Round your response to four decimal places.) (Round your response to four decimal places.) Without doing any additional calculations, determine whether - 5.4 is contained in the 95% confidence interval for ẞ₁. A. Yes, -5.4 is contained in the 95% confidence interval for B₁. B. No, -5.4 is not contained in the 95% confidence interval for B₁. The 99% confidence interval for ẞo is ( ). (Round your responses to one decimal place.)
Suppose that a researcher, using data on class size (CS) and average test scores from 100 third-grade classes, estimates the OLS regression TestScore = 509.9920 + (-5.7036) x CS, R2 = 0.10, SER = 11.3 (19.9920) (2.0995) Construct a 95% confidence interval for B₁, the regression slope coefficient. ☐ The 95% confidence interval for B₁, the regression slope coefficient, is (). (Round your responses to two decimal places.) The t-statistic for the two-sided test of the null hypothesis Ho: B₁ = 0 is Note: Assume a normal distribution. The p-value for the two-sided test of the null hypothesis Ho: B₁ = 0 is Do you reject the null hypothesis at the 1% level? A. Yes, because the t-statistic is less than 2.58. B. Yes, because the t-statistic is greater than 2.58. C. Yes, because the p-value is less than 0.01. D. No, because the p-value is greater than 0.01. The p-value for the two-sided test of the null hypothesis Ho: B₁ = -5.4 is (Round your response to four decimal places.) (Round your response to four decimal places.) (Round your response to four decimal places.) Without doing any additional calculations, determine whether - 5.4 is contained in the 95% confidence interval for ẞ₁. A. Yes, -5.4 is contained in the 95% confidence interval for B₁. B. No, -5.4 is not contained in the 95% confidence interval for B₁. The 99% confidence interval for ẞo is ( ). (Round your responses to one decimal place.)
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:Suppose that a researcher, using data on class size (CS) and average test scores from 100 third-grade classes, estimates the OLS regression
TestScore = 509.9920 + (-5.7036) x CS, R2 = 0.10, SER = 11.3
(19.9920)
(2.0995)
Construct a 95% confidence interval for B₁, the regression slope coefficient.
☐
The 95% confidence interval for B₁, the regression slope coefficient, is (). (Round your responses to two decimal places.)
Transcribed Image Text:The t-statistic for the two-sided test of the null hypothesis Ho: B₁ = 0 is
Note: Assume a normal distribution.
The p-value for the two-sided test of the null hypothesis Ho: B₁ = 0 is
Do you reject the null hypothesis at the 1% level?
A. Yes, because the t-statistic is less than 2.58.
B. Yes, because the t-statistic is greater than 2.58.
C. Yes, because the p-value is less than 0.01.
D. No, because the p-value is greater than 0.01.
The p-value for the two-sided test of the null hypothesis Ho: B₁ = -5.4 is
(Round your response to four decimal places.)
(Round your response to four decimal places.)
(Round your response to four decimal places.)
Without doing any additional calculations, determine whether - 5.4 is contained in the 95% confidence interval for ẞ₁.
A. Yes, -5.4 is contained in the 95% confidence interval for B₁.
B. No, -5.4 is not contained in the 95% confidence interval for B₁.
The 99% confidence interval for ẞo is (
). (Round your responses to one decimal place.)
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